Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3677/391,4721/671
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 3677,4721
Greatest Common Factor of Numerators i.e. GCF of 3677,4721 is 1 .
LCM of Denominators means LCM of 391,671 as per the given fractions.
LCM of 391,671 is 262361 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3677,4721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3677
List of positive integer factors of 3677 that divides 3677 without a remainder.
1,3677
Factors of 4721
List of positive integer factors of 4721 that divides 4721 without a remainder.
1,4721
Greatest Common Factor
We found the factors 3677,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 3677,4721 is 1.
Lets's calculate LCM of 391,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 262361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262361
Therefore, the GCF of Fractions 3677/391,4721/671 is 1/262361
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 391,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,671) x common factors =1 x 1 = 1
LCM(391,671) = ( 391 × 671 ) / 1
LCM(391,671) = 262361 / 1
LCM(391,671) = 262361
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 3677/391, 4721/671?
Answer: GCF of Numerators as per given numbers 3677/391, 4721/671 is
GCF of Numerators i.e. for 3677,4721 is 1
LCM of denominators i.e. for 391,671 is 262361.
Thus, GCF of Fractions is 1/262361.Finally, GCF of Fractions for 3677/391, 4721/671 is 1/262361.